Finite Group Databasebeta

← #10720201

Subgroups — #10720201

Order 768.

2526 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×Dic3⋊C4C211yesmaximal, characteristic
2C22×#878C211yesmaximal, characteristic
3C2×Dic3×C22⋊C4C211yesmaximal, characteristic
4C2×#4646C212yesmaximal, complemented
5C3×C22⋊#95C211yesmaximal, characteristic
6#72127C211yesmaximal, characteristic
7#71544C211yesmaximal, characteristic
8#71544C211yesmaximal, characteristic
9#69411C212yesmaximal, complemented
10#69409C212yesmaximal, complemented
11Dic3⋊#95C212yesmaximal, complemented
12#14139—31nomaximal, Sylow
13C24×C3×C4C2211yescharacteristic
14C24×Dic3C2211yescharacteristic
15C24×Dic3C2211yescharacteristic
16C23×Dic6C2211yescharacteristic
17C22×C3×C22⋊C4C2211yescharacteristic
18C22×C3×C22⋊C4C2211yescharacteristic
19C22×#217C2211yescharacteristic
20C22×#217C2211yescharacteristic
21C22×C4⋊Dic3C2211yescharacteristic
22C22×Dic3⋊C4—24no—
23C22×Dic3⋊C4—28no—
24C22×Dic3⋊C4C2212yes—
25C22×Dic3⋊C4C2211yescharacteristic
26C22×Dic3⋊C4C2211yescharacteristic
27C22×Dic3⋊C4C2212yes—
28C22×C4×Dic3C2212yes—
29C2×#878—24no—
30C2×#878—24no—
31C2×#878C418yescomplemented
32C2×C3×#95C2212yes—
33C2×C3×#95C2212yes—
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2212yes—
36C2×C3⋊#95C2212yes—
37C2×C3⋊#95C2212yes—
38C2×C3⋊#95C2212yes—
39C2×C3⋊#95C2212yes—
40C2×C3⋊#95C2212yes—
41Dic3×C22⋊C4—24no—
42#4646—28no—
43C22×C22⋊Q8—31no—
44C23×C4⋊C4—31no—
45C2×#391—32no—
46C2×C4×C22⋊C4—31no—
47#1441—32no—
48#1441—32no—
49C4⋊#95—32no—
50C22⋊#95—31no—
51C22⋊#95—31no—
52C22⋊#95—31no—
53C22⋊#95D311yescharacteristic
54C25×C3C2311yescharacteristic
55C23×C3×C4—22no—
56C23×C3×C4—24no—
57C23×C3×C4—22no—
58C23×C3×C4—22no—
59C23×C3×C4—42no—
60C23×C3×C4C2311yescharacteristic
61C23×C3×C4C2311yescharacteristic
62C23×C3×C4C2312yes—
63C23×C3×C4C2312yes—
64C23×Dic3—24no—
65C23×Dic3—24no—
66C23×Dic3—22no—
67C23×Dic3—24no—
68C23×Dic3—22no—
69C23×Dic3—22no—
70C23×Dic3—42no—
71C23×Dic3C2×C414yes—
72C23×Dic3D414yes—
73C23×Dic3D414yes—
74C23×Dic3C2311yescharacteristic
75C23×Dic3C2311yescharacteristic
76C23×Dic3C2312yes—
77C23×Dic3C2312yes—
78C23×Dic3C2311yescharacteristic
79C23×Dic3C2311yescharacteristic
80C22×Dic6—24no—
81C22×Dic6—22no—
82C22×Dic6—22no—
83C22×Dic6—24no—
84C22×Dic6C2×C414yescomplemented
85C2×C3×C22⋊C4—22no—
86C2×C3×C22⋊C4—22no—
87C2×C3×C22⋊C4—22no—
88C2×C3×C22⋊C4—22no—
89C2×C3×C22⋊C4C2×C414yes—
90C2×C3×C22⋊C4Q814yescomplemented
91C2×#217—22no—
92C2×#217—22no—
93C2×#217—22no—
94C2×#217—22no—
95C2×#217C2×C414yes—
96C2×#217Q814yescomplemented
97C2×C4⋊Dic3—22no—
98C2×C4⋊Dic3—22no—
99C2×C4⋊Dic3C2×C414yescomplemented
100C2×Dic3⋊C4—232no—
101C2×Dic3⋊C4—24no—
102C2×Dic3⋊C4—22no—
103C2×Dic3⋊C4—22no—
104C2×Dic3⋊C4—22no—
105C2×Dic3⋊C4—22no—
106C2×Dic3⋊C4—24no—
107C2×Dic3⋊C4—24no—
108C2×Dic3⋊C4—24no—
109C2×Dic3⋊C4—24no—
110C2×Dic3⋊C4C2×C414yescomplemented
111C2×Dic3⋊C4C2×C414yescomplemented
112C2×Dic3⋊C4D418yes—
113C2×C4×Dic3—24no—
114C2×C4×Dic3—24no—
115C2×C4×Dic3—24no—
116#878—232no—
117C3×#95—24no—
118C3×#95—42no—
119C3⋊#95—24no—
120C3⋊#95—24no—
121C3⋊#95—24no—
122C3⋊#95—24no—
123C3⋊#95—42no—
124C3⋊#95—42no—
125C3⋊#95—42no—
126C23×Q8—31no—
127C24×C4—31no—
128C24×C4—31no—
129C24×C4C2×D311yescharacteristic
130C2×C22⋊Q8—38no—
131C2×C22⋊Q8—64no—
132C2×C22⋊Q8—64no—
133C22×C4⋊C4—32no—
134C22×C4⋊C4—31no—
135C22×C4⋊C4—31no—
136C22×C4⋊C4—31no—
137C22×C4⋊C4—32no—
138C22×C4⋊C4—68no—
139C22×C4⋊C4—64no—
140C22×C22⋊C4—31no—
141C22×C22⋊C4—31no—
142C22×C22⋊C4C2×D311yescharacteristic
143C22×C22⋊C4C2×D311yescharacteristic
144C22×C42—32no—
145#391—68no—
146C4×C22⋊C4—64no—
147C2×#95—32no—
148C2×#95—32no—
149C2×#95—32no—
150C2×#95—32no—
151C2×#95—32no—
152C2×#95—32no—
153C2×#95—32no—
154C2×#95C2×D312yes—
155C2×#95C2×D312yes—
156C24×C3—22no—
157C24×C3—22no—
158C24×C3—22no—
159C24×C3—22no—
160C24×C3C22×C412yes—
161C24×C3C2×D412yes—
162C24×C3C2×D412yes—
163C24×C3C2×Q812yes—
164C24×C3C2×Q812yes—
165C24×C3#4112yes—
166C24×C3#4112yes—
167C24×C3C2411yescharacteristic
168C22×C3×C4—28no—
169C22×C3×C4—22no—
170C22×C3×C4—22no—
171C22×C3×C4—22no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—21no—
175C22×C3×C4—21no—
176C22×C3×C4—21no—
177C22×C3×C4—21no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
184C22×C3×C4—22no—
185C22×C3×C4—22no—
186C22×C3×C4—22no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—48no—
190C22×C3×C4—48no—
191C22×C3×C4—44no—
192C22×C3×C4—44no—
193C22×C3×C4C22×C412yes—
194C22×C3×C4C22×C412yes—
195C22×C3×C4C2×D414yes—
196C22×C3×C4C2×Q814yes—
197C22×Dic3—22no—
198C22×Dic3—22no—
199C22×Dic3—216no—
200C22×Dic3—28no—
201C22×Dic3—216no—
202C22×Dic3—28no—
203C22×Dic3—28no—
204C22×Dic3—22no—
205C22×Dic3—22no—
206C22×Dic3—22no—
207C22×Dic3—21no—
208C22×Dic3—21no—
209C22×Dic3—22no—
210C22×Dic3—22no—
211C22×Dic3—21no—
212C22×Dic3—21no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3—22no—
216C22×Dic3—22no—
217C22×Dic3—22no—
218C22×Dic3—22no—
219C22×Dic3—22no—
220C22×Dic3—22no—
221C22×Dic3—22no—
222C22×Dic3—22no—
223C22×Dic3—22no—
224C22×Dic3—48no—
225C22×Dic3—48no—
226C22×Dic3—44no—
227C22×Dic3—44no—
228C22×Dic3C22⋊C4116yes—
229C22×Dic3C22×C412yes—
230C22×Dic3C22×C412yes—
231C22×Dic3C22×C412yes—
232C22×Dic3C22×C412yes—
233C22×Dic3C2×D414yes—
234C22×Dic3C2×D412yes—
235C22×Dic3C2×D412yes—
236C22×Dic3C2×D412yes—
237C22×Dic3C2×D412yes—
238C22×Dic3C2×D414yes—
239C22×Dic3C2×Q814yes—
240C22×Dic3#4114yes—
241C2×Dic6—28no—
242C2×Dic6—216no—
243C2×Dic6—44no—
244C2×Dic6—48no—
245C2×Dic6—44no—
246C3×C22⋊C4—28no—
247C3×C22⋊C4—28no—
248#217—28no—
249#217—28no—
250C4⋊Dic3—28no—
251Dic3⋊C4—216no—
252Dic3⋊C4—28no—
253Dic3⋊C4—28no—
254Dic3⋊C4—216no—
255C4×Dic3—48no—
256C25C22×D311yescharacteristic
257C22×Q8—34no—
258C22×Q8—62no—
259C22×Q8—62no—
260C22×Q8—64no—
261C22×Q8—64no—
262C23×C4—22no—
263C23×C4—24no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—31no—
267C23×C4—34no—
268C23×C4—34no—
269C23×C4—34no—
270C23×C4—31no—
271C23×C4—31no—
272C23×C4—31no—
273C23×C4—32no—
274C23×C4—32no—
275C23×C4—42no—
276C23×C4—64no—
277C23×C4—64no—
278C23×C4—64no—
279C23×C4—62no—
280C23×C4—62no—
281C23×C4—62no—
282C23×C4—122no—
283C23×C4C22×D312yes—
284C23×C4C22×D311yescharacteristic
285C23×C4C22×D311yescharacteristic
286C23×C4C22×D312yes—
287C22⋊Q8—632no—
288C2×C4⋊C4—34no—
289C2×C4⋊C4—34no—
290C2×C4⋊C4—34no—
291C2×C4⋊C4—38no—
292C2×C4⋊C4—64no—
293C2×C4⋊C4—64no—
294C2×C4⋊C4—64no—
295C2×C4⋊C4—64no—
296C2×C4⋊C4—62no—
297C2×C4⋊C4—62no—
298C2×C4⋊C4—62no—
299C2×C4⋊C4—62no—
300C2×C4⋊C4—62no—
301C2×C4⋊C4—62no—
302C2×C4⋊C4—632no—
303C2×C4⋊C4—64no—
304C2×C22⋊C4—22no—
305C2×C22⋊C4—22no—
306C2×C22⋊C4—22no—
307C2×C22⋊C4—22no—
308C2×C22⋊C4—34no—
309C2×C22⋊C4—34no—
310C2×C22⋊C4—62no—
311C2×C22⋊C4—62no—
312C2×C22⋊C4—62no—
313C2×C22⋊C4—62no—
314C2×C22⋊C4Dic614yescomplemented
315C2×C22⋊C4C4×D314yes—
316C2×C42—64no—
317C2×C42—64no—
318C2×C42—64no—
319#95—24no—
320#95—42no—
321#95—64no—
322#95—64no—
323#95—64no—
324#95—64no—
325#95—122no—
326#95—122no—
327#95—122no—
328C23×C3—24no—
329C23×C3—24no—
330C23×C3—22no—
331C23×C3—24no—
332C23×C3—22no—
333C23×C3—22no—
334C23×C3—22no—
335C23×C3—24no—
336C23×C3—24no—
337C23×C3—24no—
338C23×C3—24no—
339C23×C3—24no—
340C23×C3—24no—
341C23×C3—24no—
342C23×C3—24no—
343C23×C3—24no—
344C23×C3C2×C22⋊C414yes—
345C23×C3C4×Q814yes—
346C23×C3C4×Q814yes—
347C23×C3C22⋊Q814yes—
348C23×C3C22⋊Q814yes—
349C23×C3#12414yes—
350C23×C3C4⋊Q814yes—
351C23×C3C23×C411yescharacteristic
352C23×C3C22×D411yescharacteristic
353C23×C3C22×D411yescharacteristic
354C23×C3C22×D412yes—
355C23×C3C22×Q811yescharacteristic
356C23×C3C22×Q811yescharacteristic
357C23×C3C2×#4111yescharacteristic
358C23×C3C2×#4111yescharacteristic
359C23×C3C2×#4112yes—
360C23×C3H(5,𝔽2)12yes—
361C23×C32−1+412yes—
362C2×C3×C4—22no—
363C2×C3×C4—22no—
364C2×C3×C4—24no—
365C2×C3×C4—24no—
366C2×C3×C4—24no—
367C2×C3×C4—24no—
368C2×C3×C4—24no—
369C2×C3×C4—24no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—416no—
373C2×C3×C4—41no—
374C2×C3×C4—42no—
375C2×C3×C4—42no—
376C2×C3×C4—41no—
377C2×C3×C4—42no—
378C2×C3×C4—41no—
379C2×C3×C4—42no—
380C2×C3×C4—41no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4—42no—
384C2×C3×C4—42no—
385C2×C3×C4—42no—
386C2×C3×C4—42no—
387C2×Dic3—24no—
388C2×Dic3—22no—
389C2×Dic3—24no—
390C2×Dic3—22no—
391C2×Dic3—232no—
392C2×Dic3—22no—
393C2×Dic3—22no—
394C2×Dic3—24no—
395C2×Dic3—24no—
396C2×Dic3—24no—
397C2×Dic3—24no—
398C2×Dic3—24no—
399C2×Dic3—24no—
400C2×Dic3—24no—
401C2×Dic3—24no—
402C2×Dic3—416no—
403C2×Dic3—41no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—41no—
407C2×Dic3—42no—
408C2×Dic3—41no—
409C2×Dic3—42no—
410C2×Dic3—41no—
411C2×Dic3—42no—
412C2×Dic3—42no—
413C2×Dic3—42no—
414C2×Dic3—42no—
415C2×Dic3—42no—
416C2×Dic3—42no—
417C2×Dic3C2×C22⋊C414yes—
418C2×Dic3C2×C22⋊C414yes—
419C2×Dic3C4×D418yes—
420C2×Dic3#12014yes—
421C2×Dic3#12118yes—
422C2×Dic3#12314yes—
423Dic6—416no—
424C24—22no—
425C24—22no—
426C24—22no—
427C24—22no—
428C24C2×Dic612yes—
429C24C2×C4×D312yes—
430C24#23512yes—
431C24D3×D412yes—
432C24D3×D412yes—
433C24#23712yes—
434C24D3×Q812yes—
435C24C23×D311yescharacteristic
436C2×Q8—68no—
437C2×Q8—616no—
438C2×Q8—124no—
439C2×Q8—124no—
440C2×Q8—128no—
441C22×C4—28no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—32no—
463C22×C4—32no—
464C22×C4—34no—
465C22×C4—32no—
466C22×C4—34no—
467C22×C4—316no—
468C22×C4—32no—
469C22×C4—32no—
470C22×C4—32no—
471C22×C4—32no—
472C22×C4—32no—
473C22×C4—34no—
474C22×C4—34no—
475C22×C4—48no—
476C22×C4—48no—
477C22×C4—44no—
478C22×C4—44no—
479C22×C4—68no—
480C22×C4—68no—
481C22×C4—616no—
482C22×C4—616no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—68no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—62no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—62no—
496C22×C4—62no—
497C22×C4—62no—
498C22×C4—62no—
499C22×C4—62no—
500C22×C4—62no—
501C22×C4—62no—
502C22×C4—62no—
503C22×C4—62no—
504C22×C4—62no—
505C22×C4—62no—
506C22×C4—128no—
507C22×C4—128no—
508C22×C4—124no—
509C22×C4—124no—
510C22×C4C2×Dic614yes—
511C22×C4C2×C4×D312yes—
512C22×C4C2×C4×D312yes—
513C22×C4D3×D414yes—
514C4⋊C4—616no—
515C4⋊C4—68no—
516C4⋊C4—68no—
517C4⋊C4—68no—
518C4⋊C4—616no—
519C22⋊C4—28no—
520C22⋊C4—28no—
521C22⋊C4—68no—
522C22⋊C4—68no—
523C42—128no—
524C22×C3—24no—
525C22×C3—28no—
526C22×C3—28no—
527C22×C3—28no—
528C22×C3—28no—
529C22×C3—24no—
530C22×C3—24no—
531C22×C3—24no—
532C22×C3—24no—
533C22×C3—24no—
534C22×C3#39118yescomplemented
535C22×C3C22×C22⋊C411yescharacteristic
536C22×C3C2×C4×D412yes—
537C22×C3C2×C4×Q811yescharacteristic
538C22×C3C2×C4×Q811yescharacteristic
539C22×C3#52012yes—
540C22×C3C2×#12011yescharacteristic
541C22×C3C2×#12112yes—
542C22×C3C2×C22⋊Q811yescharacteristic
543C22×C3C2×C22⋊Q811yescharacteristic
544C22×C3C2×#12311yescharacteristic
545C22×C3C2×#12411yescharacteristic
546C22×C3C2×C4⋊Q811yescharacteristic
547C22×C3#53511yescharacteristic
548C22×C3#53611yescharacteristic
549C22×C3#53712yes—
550C22×C3#54612yes—
551C22×C3#54612yes—
552C22×C3D4×Q812yes—
553C22×C3D4×Q812yes—
554C22×C3#55212yes—
555C22×C3#55212yes—
556C22×C3#55412yes—
557C22×C3#55412yes—
558C3×C4—42no—
559C3×C4—44no—
560C3×C4—44no—
561C3×C4—42no—
562Dic3—24no—
563Dic3—42no—
564Dic3—44no—
565Dic3—44no—
566Dic3—42no—
567Dic3#38618yes—
568C23—24no—
569C23—24no—
570C23—22no—
571C23—24no—
572C23—22no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—22no—
580C23—24no—
581C23—22no—
582C23—24no—
583C23—24no—
584C23C4×Dic614yes—
585C23#87814yes—
586C23D3×C22⋊C414yes—
587C23#88514yes—
588C23#88714yes—
589C23#88814yes—
590C23#89614yes—
591C23C22×Dic611yescharacteristic
592C23C22×C4×D311yescharacteristic
593C23C2×#23511yescharacteristic
594C23C2×D3×D412yes—
595C23C2×D3×D411yescharacteristic
596C23C2×D3×D411yescharacteristic
597C23C2×#23711yescharacteristic
598C23#100412yes—
599C23C2×D3×Q811yescharacteristic
600C23D3×#4112yes—
601C23#101012yes—
602Q8—1216no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—34no—
614C2×C4—34no—
615C2×C4—38no—
616C2×C4—34no—
617C2×C4—38no—
618C2×C4—34no—
619C2×C4—416no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—41no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—632no—
635C2×C4—62no—
636C2×C4—64no—
637C2×C4—62no—
638C2×C4—64no—
639C2×C4—64no—
640C2×C4—64no—
641C2×C4—62no—
642C2×C4—62no—
643C2×C4—64no—
644C2×C4—64no—
645C2×C4—64no—
646C2×C4—64no—
647C2×C4—64no—
648C2×C4—64no—
649C2×C4—1216no—
650C2×C4—121no—
651C2×C4—121no—
652C2×C4—122no—
653C2×C4—122no—
654C2×C4—122no—
655C2×C4—122no—
656C2×C4—121no—
657C2×C4—122no—
658C2×C4—122no—
659C2×C4—121no—
660C2×C4—122no—
661C2×C4—122no—
662C2×C4—122no—
663C2×C4—122no—
664C2×C3—28no—
665C2×C3C2×#38611yescharacteristic
666C2×C3C2×#39111yescharacteristic
667C2×C3#231111yescharacteristic
668C2×C3#236012yes—
669C2×C3#236012yes—
670C2×C3#241712yes—
671C2×C3#241712yes—
672C2×C3#243411yescharacteristic
673C2×C3#243511yescharacteristic
674C2×C3#250211yescharacteristic
675C2×C3#250311yescharacteristic
676C22—24no—
677C22—24no—
678C22—24no—
679C22—28no—
680C22—28no—
681C22—24no—
682C22—24no—
683C22—28no—
684C22—24no—
685C22—28no—
686C22#464618yescomplemented
687C22C2×C4×Dic611yescharacteristic
688C22C2×#87811yescharacteristic
689C22C2×D3×C22⋊C411yescharacteristic
690C22#549012yes—
691C22C2×#88511yescharacteristic
692C22C2×#88711yescharacteristic
693C22C2×#88811yescharacteristic
694C22C2×#89611yescharacteristic
695C22#553112yes—
696C22D4×Dic612yes—
697C22#553912yes—
698C22C4×D3×D412yes—
699C22#554612yes—
700C22D3×#12011yescharacteristic
701C22#559112yes—
702C22#559211yescharacteristic
703C22#559712yes—
704C22D3×#12112yes—
705C22#563212yes—
706C22#563612yes—
707C22#564811yescharacteristic
708C22#565012yes—
709C22D3×#12311yescharacteristic
710C4—38no—
711C4—44no—
712C4—42no—
713C4—42no—
714C4—44no—
715C4—64no—
716C4—124no—
717C4—122no—
718C4—124no—
719C4—122no—
720C3#1413911yescharacteristic, complemented, Sylow
721C2—28no—
722C2C2×#464611yescharacteristic
723C2#7346612yes—
724C2#7382711yescharacteristic
725C2#7388912yes—
726C2#7407911yescharacteristic
727C2#7439612yes—
728C2#7441211yescharacteristic
729C2#7446011yescharacteristic
730C2#7466211yescharacteristic
731C2#7469312yes—
732C2D3×#38611yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutatorC23×C3C23×C4
FittingC3×C22⋊#95C2
socle, cosocleC24×C3C24
prime radicalC25×C3C23
hypercenterC22⋊#95D3
hypocenterC3#14139
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
4. C2×#4646C2semidirect
9. #69411C2semidirect
10. #69409C2semidirect
11. Dic3⋊#95C2semidirect
31. C2×#878C4semidirect
84. C22×Dic6C2×C4semidirect
90. C2×C3×C22⋊C4Q8semidirect
96. C2×#217Q8semidirect
99. C2×C4⋊Dic3C2×C4semidirect
110. C2×Dic3⋊C4C2×C4semidirect
111. C2×Dic3⋊C4C2×C4semidirect
314. C2×C22⋊C4Dic6semidirect
534. C22×C3#391semidirect
686. C22#4646semidirect
720. C3#14139semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C23×Dic3⋊C42
C22×#8782
C2×Dic3×C22⋊C42
C2×#46462
C3×C22⋊#952
#721272
#715442
#694112
#694092
Dic3⋊#952
#141393